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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density secures wilh mean 0 and standard deviation 1. Z: 418]" The area of the shaded region is D. {Round to four decimal places as needed.) Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. Z= -0.84 Z =1.27 The area of the shaded region is (Round to four decimal places as needed.)Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 14% and highest 14%, indicating levels that are too low or too high, respectively. O A. OB. c. OD. - Zo Zo - Za Zu - Zu Zu - Za Za The bone density scores are (l Ise a comma to senarate answers as needed Round to two decimal places as needed 1Assume that adults have IQ scores that are normally distributed with a mean of 98.1 and a standard deviation 19.5. Find the first quartile Q, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)Asunrey found that women's heights are normally distributed with mean 62.5 in. and standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 63.7 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement parlt have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts {a) and {h} below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is D%. {Round to two decimal places as needed.) Since most men do not meet the height requirement, it likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of in. (Round to one decimal place as needed.)